Answer:
the number would be 11
Step-by-step explanation:
8 · x - 3 = 64
________ _ (divide both sides by 8)
8 8
x - 3 = 8
+ 3 + 3
x = 11
(check:
11 - 3 = 8
8 x 8 = 64 )
The water level increases by 0.608 meters per minute when the water is 3.5 m deep
<h3>How to determine the rate?</h3>
The given parameters are:
- Radius, r = 3
- Height, h = 7
- Rate in, V' = 4.3m^3/min
The relationship between the radius and height is:
r/h = 3/7
Make r the subject
r = 3h/7
The volume of a cone is;
This gives
Expand
Differentiate
Make h' the subject
When the water level is 3.5.
We have:
Also, we have:
V' = 4.3
So, the equation becomes
Evaluate the products
Evaluate the quotient
h' = 0.608
Hence, the water level increases by 0.608 meters per minute
Read more about volumes at:
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Answer:
1/6
Step-by-step explanation:
2/3 times 1/4 is 2/12. 2/12 simplified is 1/6, so 1/6 is your answer.
3 gallons on 10 things
Here, we have less things to be distributed than the number of things you distribute to.
Thus: 3/10 gallons.
Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,
Lana71 [14]
Answer:
CV for A = 21.8%
CV for B = 15.5%
Step-by-step explanation:
The formula for coefficient of variation is:
CV = Standard Deviation / Mean
So,
For A:
Mean = Sum/No. of items
= 391300/14
=$27950
and
SD = $6085.31
CV for A = 6085.31/27950 * 100
=21.77%
Rounding off to one decimal
CV for A = 21.8%
For B:
Mean = Sum/No. of items
= 43.58/11
=3.96
and
SD = 0.615
CV for B = 0.615/3.96 * 100
=15.53%
=15.5% ..
